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This paper presents the information system of multidimensional data analysis and data mining by identification of associative dependences in multidimensional data, which was implemented in post-relational DBMS Caché Environment. Information system modules have been considered, which perform the next tasks: design of object database on the physical level and its provisioning, construction of multidimensional data structures for creation a database and association rules mining among multidimensional data. Methods of OLAP cubes construction have been considered as well as association rules mining in them which were implemented in the information system.